Elementary Invariants

The following functions yield elementary invariants of matrices and may be applied to matrices of any type, including vectors.

NumberOfRows(A) : Mtrx -> RngIntElt

Nrows(A) : Mtrx -> RngIntElt

Given an m x n matrix A, return m, the number of rows of A.

NumberOfColumns(A) : Mtrx -> RngIntElt

Ncols(A) : Mtrx -> RngIntElt

Given an m x n matrix A, return n, the number of columns of A.

BaseRing(A) : Mtrx -> Rng

CoefficientRing(A) : Mtrx -> Rng

Given a matrix A with entries lying in a ring R, return R.

ElementToSequence(A) : Mtrx -> [ RngElt ]

Eltseq(A) : Mtrx -> [ RngElt ]

Given a matrix A over the ring R having m rows and n columns, return the entries of A, in row-major order, as a sequence of mn elements of R.